Question

circular wire of radius 7.5 cm is cut and bent into so as to lie along the circumference of a hoop whose radius is 120 cm .find in degree the angle which is subtended at the centre of the hoop

Answer 1

I hope u understand it!!!

Answer 2

Answer: Our required angle would be 22.5°.

Step-by-step explanation:

Since we have given that

Radius of circular wire = 7.5 cm

Radius of hoop = 120 cm

So, Circumference of hoop is given by

$2\pi r\\\\=2\times \pi \times 7.5\\\\=15\pi \ cm$

so, length becomes 15π cm.

We need to find the angle which is subtended at the center of the hoop.

So, it becomes,

$\theta=\dfrac{l}{r}=\dfrac{15\pi}{120}=\dfrac{\pi}{8}\times 180^\circ=22.5^\circ$

Hence, our required angle would be 22.5°.